The generator matrix

 1  0  1  1  1 14  1  1  8  1  1  6  1  1  0  2  1  1  1  0  1  2  1  1  1  1  1  1  1  1  1  1  1  1  4  2  1  1  1  1  1  1  4  1 12  1  1  4  1
 0  1 11  6  5  1 13  0  1  2  3  1 14 11  1  1  9  2  7  1  6  1 11 12  9  6 12  2 10  8  4  4  8 13  1  1 12 12 12 10 10  1  1 12  1 10  2  4  0
 0  0 12  0  0  8  0 12 12  4  4  4 12  8  4  4 12  8  4  0  8  0  0  4 12  4  8  4  8  0  4 12  8  4  8  0  8 12 12  8 12  0  0  8 12 12  0 12  4
 0  0  0 12  8 12  4 12  8  0  4 12  8 12  4  8  4  4  8 12  8  8  0 12  0 12  0  4  0  4  0  8 12  0 12  4  4 12  0  8  0  0  8  8 12  4  0  0 12

generates a code of length 49 over Z16 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+61x^44+188x^45+314x^46+682x^47+562x^48+618x^49+465x^50+620x^51+317x^52+164x^53+58x^54+22x^55+8x^56+6x^57+4x^59+2x^60+2x^62+1x^72+1x^74

The gray image is a code over GF(2) with n=392, k=12 and d=176.
This code was found by Heurico 1.16 in 0.204 seconds.